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106010146409 is a prime number
BaseRepresentation
bin110001010111010110…
…0100111011001101001
3101010122000210102011212
41202232230213121221
53214102044141114
6120411141202505
710442013243146
oct1425654473151
9333560712155
10106010146409
1140a5aa67052
1218666700435
139cc5a1b8ab
1451b93513cd
152b56bc8b3e
hex18aeb27669

106010146409 has 2 divisors, whose sum is σ = 106010146410. Its totient is φ = 106010146408.

The previous prime is 106010146399. The next prime is 106010146421. The reversal of 106010146409 is 904641010601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105237306409 + 772840000 = 324403^2 + 27800^2 .

It is a cyclic number.

It is not a de Polignac number, because 106010146409 - 212 = 106010142313 is a prime.

It is a super-5 number, since 5×1060101464095 (a number of 56 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (106010146709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53005073204 + 53005073205.

It is an arithmetic number, because the mean of its divisors is an integer number (53005073205).

Almost surely, 2106010146409 is an apocalyptic number.

It is an amenable number.

106010146409 is a deficient number, since it is larger than the sum of its proper divisors (1).

106010146409 is an equidigital number, since it uses as much as digits as its factorization.

106010146409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 106010146409 in words is "one hundred six billion, ten million, one hundred forty-six thousand, four hundred nine".